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melomori [17]
3 years ago
8

Find the equation in standard form. of the line that passes through (-2,4) and (1,-2)

Mathematics
2 answers:
blagie [28]3 years ago
8 0
-3 will be your slope and your y-intercept will be -2... equation i: y=-3x-2
djverab [1.8K]3 years ago
7 0
To find the equation in standard form of the line. First solve for the m value - slope.

(-2,4) and (1,-2)

M = y2 - y1/ x2 - X1
M = -2 - 4/ 1 - -2
M = -6/3
M = -2.

Y - y1 = m(X - x1)
Y - 4 = -2(X + 2)
Y - 4 = -2(X + 2)
Y - 4 = -2x - 4
Y - 4 + 4 = -2x - 4 + 4
Y = -2x.
Y - Y = -2x - Y
0 = -2x - Y
-2x - Y = 0.

I believe the standard form equation of the line is -2x - Y = 0.
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C. (40 × 60 × 10) + (30 × 60 × 10) = V

Step-by-step explanation:

Picture of the cake can be found in the attachment below :

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And the other which sits vertically ;

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At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51.
satela [25.4K]

Answer:

P(x\geq 7)=0.1886

Step-by-step explanation:

The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.

So, the probability that x customers will order a nonalcoholic beverage is:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

P(x)=\frac{10!}{x!(10-x)!}*0.51^{x}*(1-0.51)^{10-x}

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

P(x\geq 7)=P(7)+P(8)+P(9)+P(10)

Where:

P(7)=\frac{10!}{7!(10-7)!}*0.51^{7}*(1-0.51)^{10-7}=0.1267\\P(8)=\frac{10!}{8!(10-8)!}*0.51^{8}*(1-0.51)^{10-8}=0.0494\\P(9)=\frac{10!}{9!(10-9)!}*0.51^{9}*(1-0.51)^{10-9}=0.0114\\P(10)=\frac{10!}{10!(10-10)!}*0.51^{10}*(1-0.51)^{10-10}=0.0011

So, P(x\geq 7) is equal to:

P(x\geq 7)=0.1267+0.0494+0.0114+0.0011\\P(x\geq 7)=0.1886

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886

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